Open access
Date
2022-09-19Type
- Journal Article
ETH Bibliography
yes
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Abstract
A proof of quantumness is a type of challenge-response protocol in which a classical verifier can efficiently certify the quantum advantage of an untrusted prover. That is, a quantum prover can correctly answer the verifier's challenges and be accepted, while any polynomial-time classical prover will be rejected with high probability, based on plausible computational assumptions. To answer the verifier's challenges, existing proofs of quantumness typically require the quantum prover to perform a combination of polynomial-size quantum circuits and measurements. In this paper, we give two proof of quantumness constructions in which the prover need only perform constant-depth quantum circuits (and measurements) together with log-depth classical computation. Our first construction is a generic compiler that allows us to translate existing proofs of quantumness into constant quantum depth versions. Our second construction is based around the learning with rounding problem, and yields circuits with shorter depth and requiring fewer qubits than the generic construction. In addition, the second construction also has some robustness against noise. Show more
Permanent link
https://doi.org/10.3929/ethz-b-000573848Publication status
publishedJournal / series
QuantumVolume
Pages / Article No.
Publisher
Verein zur Förderung des Open Access Publizierens in den QuantenwissenschaftenOrganisational unit
02889 - ETH Institut für Theoretische Studien / ETH Institute for Theoretical Studies03781 - Renner, Renato / Renner, Renato
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Is new version of: https://doi.org/10.3929/ethz-b-000526539
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ETH Bibliography
yes
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